42510988800 has 1080 divisors, whose sum is σ = 187806669336. Its totient is φ = 9124577280.

The previous prime is 42510988787. The next prime is 42510988801. The reversal of 42510988800 is 888901524.

It is a happy number.

42510988800 is a `hidden beast` number, since 42 + 510 + 98 + 8 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42510988801) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 95961379 + ... + 95961821.

Almost surely, 2^42510988800 is an apocalyptic number.

42510988800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42510988800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93903334668).

42510988800 is an abundant number, since it is smaller than the sum of its proper divisors (145295680536).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42510988800 is a wasteful number, since it uses less digits than its factorization.

42510988800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

It can be divided in two parts, 425 and 10988800, that added together give a square (10989225 = 3315²).

The spelling of 42510988800 in words is "forty-two billion, five hundred ten million, nine hundred eighty-eight thousand, eight hundred".